用升降投影法通过无穷小发生器对特殊带宽共享模型进行扩散逼近

IF 0.8 4区 管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Bowen Xie , Yijin Gao
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引用次数: 0

摘要

我们考虑了 Kumar 和 Massoulié(2007 年)提出的一个尚未解决的猜想,即整合了流媒体和文件传输的特殊带宽共享模型。利用无穷小生成器方法,我们证明了具有特殊时间尺度分离参数的扩散近似。为此,我们引入了提升投影法,并展示了一个新函数,以显示联合过程的生成器收敛于单变量极限文件传输过程的生成器,其中流媒体流量在大流量时被平均掉。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Diffusion approximation of a special bandwidth sharing model via infinitesimal generators with a lifting-projection method

We consider a proposed unsolved conjecture of a special bandwidth-sharing model integrating streamings and file transfers as initiated in Kumar and Massoulié (2007). Using the infinitesimal generator approach, we demonstrate its diffusion approximation with a special time-scale separation parameter. To this end, we introduce a lifting-projection method, and exhibit a novel function to show the generator of a joint process converges to that of a univariate limiting file-transfer process, where the streaming flows are averaged out in heavy traffic.

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来源期刊
Operations Research Letters
Operations Research Letters 管理科学-运筹学与管理科学
CiteScore
2.10
自引率
9.10%
发文量
111
审稿时长
83 days
期刊介绍: Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.
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